Assist. Prof. Dr. Salah-Eddine Chorfi | Rewards & Recognition | Young Researcher Award

Assistant Professor | The University of Cadi Ayyad University | Morocco

Dr. Salah-Eddine Chorfi is an applied mathematician whose research lies at the intersection of inverse problems, control theory, and the analysis of partial differential equations. His work focuses on developing rigorous mathematical frameworks to address fundamental questions related to identification, stability, and controllability in complex dynamical systems. A key aspect of his research involves studying equipped with dynamic boundary conditions, which arise in models describing diffusion, heat transfer, and wave propagation in heterogeneous media. Chorfi’s contributions span multiple interrelated themes. He investigates inverse source problems, coefficient determination, and initial data reconstruction using advanced tools such as Carleman estimates, semigroup theory, and logarithmic convexity methods. These approaches enable the establishment of uniqueness and quantitative stability results for parabolic, hyperbolic, and time-fractional evolution equations. His work also explores the control and stabilization of PDEs, including null controllability, impulsive control, and finite-time stabilization, offering new insights into systems governed by coupled or degenerate equations. Another significant direction in his research is the analysis of time-fractional diffusion models and mean field game systems, where he examines backward problems, non-symmetric operators, and degenerate dynamics. His investigations contribute to bridging theoretical PDE analysis with computational and applied challenges, particularly in contexts where data are incomplete or the underlying systems are ill-posed. Chorfi has authored 23 scientific documents, which collectively have received 67 citations, resulting in an h-index of 7. His work is published in highly regarded journals including Evolution Equations and Control Theory, Journal of Mathematical Analysis and Applications, Mathematical Methods in the Applied Sciences, Applicable Analysis, Inverse Problems, and others. Through his collaborations with researchers in analysis, control theory, and mathematical modeling, he contributes to advancing modern approaches to inverse problems and dynamical systems. His research continues to influence emerging methodologies for understanding complex driven phenomena in both theoretical and applied settings.

Featured Publications

Chorfi, S. E., Habbal, A., Jahid, M., Maniar, L., & Ratnani, A. Stability of backward inverse problems for degenerate mean field game systems.

Chorfi, S.-E., Ismailov, M. I., Maniar, L., & Oner, I. Boundary null controllability of the heat equation with Wentzell boundary condition and Dirichlet control.